Finding the Third Proportional to 102,532 and 155,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,532 : 155,164.50 = 155,164.50 : x
2. Step 2: Convert to fraction form
   102,532/155,164.50 = 155,164.50/x
3. Step 3: Cross multiply
   102,532x = 155,164.50 × 155,164.50
4. Step 4: Simplify right side
   102,532x = 24,076,022,060.25
5. Step 5: Solve for x
   x = 24,076,022,060.25/102,532
6. Step 6: Final answer
   x = 234,814.71